Q74. For the function $f ( x ) = \sin x + 3 x - \frac { 2 } { \pi } \left( x ^ { 2 } + x \right)$, where $x \in \left[ 0 , \frac { \pi } { 2 } \right]$, consider the following two statements : (I) f is increasing in ( $0 , \frac { \pi } { 2 }$ ). (II) $f ^ { \prime }$ is decreasing in ( $0 , \frac { \pi } { 2 }$ ).
Between the above two statements,
(1) only (II) is true.
(2) only (I) is true.
(3) neither (I) nor (II) is true.
(4) both (I) and (II) are true
Q74. For the function $f ( x ) = \sin x + 3 x - \frac { 2 } { \pi } \left( x ^ { 2 } + x \right)$, where $x \in \left[ 0 , \frac { \pi } { 2 } \right]$, consider the following two statements : (I) f is increasing in ( $0 , \frac { \pi } { 2 }$ ). (II) $f ^ { \prime }$ is decreasing in ( $0 , \frac { \pi } { 2 }$ ).

Between the above two statements,\\
(1) only (II) is true.\\
(2) only (I) is true.\\
(3) neither (I) nor (II) is true.\\
(4) both (I) and (II) are true